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Finding the Fourth Proportional to 472,224.86, 651,651.32 and 257,360.31

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Solution

The fourth proportional to 472,224.86, 651,651.32 and 257,360.31 is: 355,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,224.86 : 651,651.32 = 257,360.31 : x
  2. Step 2: Convert to fraction form
    472,224.86/651,651.32 = 257,360.31/x
  3. Step 3: Cross multiply
    472,224.86x = 651,651.32 × 257,360.31
  4. Step 4: Simplify right side
    472,224.86x = 167,709,184,440.31
  5. Step 5: Solve for x
    x = 167,709,184,440.31/472,224.86
  6. Step 6: Final answer
    x = 355,146.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.